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Symmetric 1 1 2 ‐Designs and 1 1 2 ‐Difference Sets
Author(s) -
Olmez Oktay
Publication year - 2014
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21354
Subject(s) - mathematics , combinatorics , construct (python library) , discrete mathematics , computer science , programming language
In this paper, we introduce a method to construct 1 1 2 ‐designs, which are also known as partial geometric designs, by using subsets of certain finite groups. We introduce the concept of 1 1 2 ‐difference sets and investigate the existence and nonexistence of these structures. We also provide some nonexistence results on 1 1 2 ‐designs based on the fact that 1 1 2 ‐designs yield directed strongly regular graphs.